Exact asymptotics of the current in boundary dissipated quantum chains in large external fields

Abstract

Boundary driven quantum master equation for a general inhomogeneous (non-integrable) anisotropic Heisenberg spin $1/2$ chain, or an equivalent nearest neighbor interacting spinless fermion chain, is considered in the presence of a strong external field $f$. We present an exact closed form expression for large $f$ asymptotics of the current in the presence of pure incoherent source and sink dissipation at the boundaries. In application we demonstrate arbitrary large current rectification in the presence of interaction.

arXiv comment5 pages, 2 figures

References in corpus (25)

• Many-Body Physics with Ultracold Gases
• Nonequilibrium dynamics of closed interacting quantum systems
• Time-dependence of correlation functions following a quantum quench
• Thermal diode: Rectification of heat flux
• Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Ultracold atoms out of equilibrium
• Modeling heat transport through completely positive maps
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Energy flow in non-equilibrium conformal field theory
• Breakdown of a Mott insulator -- non-adiabatic tunneling mechanism
• Dielectric breakdown of Mott insulators in dynamical mean-field theory
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Non-linear doublon production in a Mott insulator --- Landau-Dykhne method applied to an integrable model
• Exact Nonequilibrium Steady State of an Open Hubbard Chain
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Non-equilibrium dynamics of the driven Hubbard model
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Nonlinear current response of an isolated system of interacting fermions
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Exact steady state manifold of a boundary driven spin-1 Lai-Sutherland chain
• Dielectric Breakdown of a Mott Insulator
• Dielectric breakdown in spin polarized Mott insulator

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• Heat, Work and Energy Currents in the Boundary-Driven XXZ Spin Chain
• The open Heisenberg chain under boundary fields: a magnonic logic gate
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Rectification and One-Way Street for the Energy Current in Boundary-Driven Asymmetric Quantum Spin Chains
• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Nonreciprocal Quantum Transport at Junctions of Structured Leads
• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Simulating quantum transport via collisional models on a digital quantum computer
• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
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